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Finding the Third Proportional to 84,215.25 and 123,036.75

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Solution

The third proportional to 84,215.25 and 123,036.75 is: 179,754.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,215.25 : 123,036.75 = 123,036.75 : x
  2. Step 2: Convert to fraction form
    84,215.25/123,036.75 = 123,036.75/x
  3. Step 3: Cross multiply
    84,215.25x = 123,036.75 × 123,036.75
  4. Step 4: Simplify right side
    84,215.25x = 15,138,041,850.56
  5. Step 5: Solve for x
    x = 15,138,041,850.56/84,215.25
  6. Step 6: Final answer
    x = 179,754.16

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.